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Slav-nsk [51]
3 years ago
8

Write an explicit formula for the sequence -3, 1, 5, 9 ... i think the answer is a_n=-3+4(n-1) i just need someone to double che

ck me :)
Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0

Answer:

you are correct

Step-by-step explanation:

The sequence has a common difference between consecutive terms

d = 9 - 5 = 5 - 1 = 1 - (- 3) = 4

This indicates the sequence is arithmetic with explicit formula

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 4, thus

a_{n} = - 3 + 4(n - 1) = - 3 + 4n - 4 = 4n - 7

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Travka [436]

p = 1.

This is because:

1.06-0.06=1.

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3 years ago
1/20 written as a decimal
egoroff_w [7]
Divide 1 by 20.
1÷20= 0.05
so 1/20 written as a decimal is 0.05
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ken paid $12 for two magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?
lesya [120]
Well \frac{12 dollars}{2 magazines} is $6 per magazine and 6 is a multiple of 3, so that's a possibility.<span />
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Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, co
sineoko [7]

2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

Step-by-step explanation:

The given is,

               Initial investment - $5000

               Future amount - $6000

               Interest rate - 7.5% (compounded quarterly)

Step:1

           Formula to calculate the Future amount with compound interest,

                                   F = P(1+\frac{r}{n} )^{nt}...................................(1)

          Where, F - Future amount

                           P - Initial amount

                            r - Rate of interest

                           n - No. of compounding in a year

                            t - Time period

          From given,

                      F = $6000

                      P = $5000

                       r = 7.5%

                       n = 4 (compounded quarterly)

        Equation (1) becomes,

                              6000=5000(1+\frac{0.075}{4} )^{(t)(4)}

                               \frac{6000}{5000} =(1+0.01875)^{4t}

                                 1.2 = (1.01875)^{4t}

         Take log on both sides,

                            log 1.2 = 4(t) log 1.01875

         Substitute log values,

                       0.07918 = 4(t) (0.0080676)

                                      = (t) (0.0322705)

                                   t = \frac{0.07918}{0.0322705}

                                      = 2.45

                                   t ≅ 2.5 years

Result:

         2.5 years required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.

3 0
3 years ago
The tree diagram represents an
olga_2 [115]

Using it's concept, considering the tree diagram, the probability of event C is given as follows:

P(C) = 0.26.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Each node at the tree is a multiplication, hence the probability of event C is given as follows:

P(C) = 0.6 x 0.3 + 0.4 x 0.2 = 0.18 + 0.08 = 0.26.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
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